Summation Calculator
Calculate Summations with Sigma Notation (Σ)
Evaluate mathematical series using sigma notation. Enter your function, set limits, and get instant results with step-by-step calculations.
Features
Supported Functions
- • Basic operations: +, -, *, /, ^
- • Trigonometric: sin(x), cos(x), tan(x)
- • Logarithmic: log(x), ln(x)
- • Square root: sqrt(x)
- • Factorial: x! (for integers)
- • Constants: pi, e
Examples
- • Sum of squares: x^2
- • Sum of cubes: x^3
- • Trigonometric series: sin(x)
- • Complex expressions: 2*x + 3
- • Factorials: x!
- • Mixed functions: x^2 + cos(x)
Frequently Asked Questions
How do I use the summation calculator?
Enter the function expression (like x^2 or sin(x)), set the starting value, ending value, and variable name. Click Calculate to get the sum with step-by-step breakdown.
What mathematical functions are supported?
The calculator supports basic arithmetic (+, -, *, /, ^), trigonometric functions (sin, cos, tan), logarithms (log, ln), square root (sqrt), factorial (!), and constants (pi, e).
What's the maximum range I can calculate?
For performance reasons, the calculator limits summations to a maximum of 10,000 terms. This covers most practical use cases while ensuring fast calculation times.
Can I save or export results?
Yes! You can copy individual results to your clipboard or download the calculation breakdown as a text file for your records.
Learn More About Summation
Learn more about calculations with our helpful tutorials and guides.
Sum of Geometric Series Calculator: Formulas, Examples & Free Tool
Calculate the sum of any geometric series instantly. Learn finite and infinite formulas, work through examples, and use our free geometric series calculator.
Read more →Series Sum Calculator: Fast & Accurate Guide
Master series sum calculator tools. Learn how to calculate arithmetic, geometric, and infinite series with formulas, examples, and free tools.
Read more →Partial Sum Calculator: How to Find Partial Sums of Any Series Fast
Use a partial sum calculator to quickly find the sum of the first n terms in any series. Learn formulas, examples, and when to use this essential math tool.
Read more →Calculate Sum of Squares: Compare 4 Best Methods
Compare 4 ways to calculate sum of squares—hand, Excel, Python, and online tools. Find the best method for your needs.
Read more →All Calculator Tools
Explore our complete collection of mathematical calculators. Each tool is designed for accuracy, speed, and ease of use.
Average Calculator
Calculate the mean (average) of multiple numbers with detailed steps.
Use CalculatorAverage of 2 Numbers
Quick and simple calculator for finding the average of two numbers.
Use CalculatorInfinite Sum Calculator
Evaluate convergent infinite series including geometric and p-series.
Use CalculatorRiemann Sum Calculator
Approximate definite integrals using various Riemann sum methods.
Use CalculatorSum of Series Calculator
Calculate arithmetic, geometric, harmonic and custom mathematical series.
Use CalculatorWhy Choose Our Calculators?
Get instant results with mathematical precision you can trust.
All calculations happen locally in your browser. No data stored or shared.
Works perfectly on all devices - desktop, tablet, and mobile.